Question

If a 1:50,000 scale map is digitized to an accuracy of ± 0.5 mm, the level of error that might be expected in ground is ± __________________ m (in integer).

Hint:

To calculate the ground error, multiply the map's error by the scale factor.

Answer 1

Correct Answer: 25

To calculate the level of error on the ground, use the scale of the map. The scale 1:50,000 means that 1 unit on the map corresponds to 50,000 units on the ground.
Given the digitization accuracy of ± 0.5 mm, we need to convert this to the ground distance:
\[ \text{Ground distance error} = 0.5 \, \text{mm} \times 50,000 = 25 \, \text{m}. \] Thus, the level of error on the ground is ± 25 m.